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Description of a Geometric Series

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3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27... to find the following:

a) What is r, the ratio between 2 consecutive terms?

b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 7 significant figures.

c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Carry all calculations to 7 significant figures.

d) What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?

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Solution Summary

This solution provides an example of working with a geometric series with calculations formatted in an attached Word document.

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